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Question

How many parallelograms congruent to this parallelogram are there in the following diagram?
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A
12
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B
16
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C
18
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D
24
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Solution

The correct option is D 12
The parallelograms that are congruent must be the same size and shape, so resizing is not allowed.
However, rotations and reflections are allowed, so there are 12 parallelograms congruent to the given parallelogram.
Hence, option A is correct.

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